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Finding the Fourth Proportional to 465,902.52, 699,216.66 and 324,742.20

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Solution

The fourth proportional to 465,902.52, 699,216.66 and 324,742.20 is: 487,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,902.52 : 699,216.66 = 324,742.20 : x
  2. Step 2: Convert to fraction form
    465,902.52/699,216.66 = 324,742.20/x
  3. Step 3: Cross multiply
    465,902.52x = 699,216.66 × 324,742.20
  4. Step 4: Simplify right side
    465,902.52x = 227,065,156,445.05
  5. Step 5: Solve for x
    x = 227,065,156,445.05/465,902.52
  6. Step 6: Final answer
    x = 487,366.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.